In this paper we focus on higher order QCD corrections to the kinematic moments of
inclusive semileptonic \(B\rightarrow X_c \ell \bar{\nu }_\ell \)  decays.
The theory underlying inclusive decays is based on a local operator product expansion,
the Heavy Quark Expansion (HQE) [1]}, [2]}, [3]}, [4]},
which allows to predict sufficiently inclusive decay observables, as the total semileptonic rate
or moments of kinematic spectra, as an expansion in inverse powers of the bottom quark mass.
In a first approximation, the process can be described as free quark decay.
Bound-state and hadronization effects are incorporated in a set of physical HQE parameters which
appear starting at order \(1/m_b^2\) .
